Dark solitons for a (2+1)-dimensional coupled nonlinear Schrodinger system with time-dependent coefficients in an optical fiber

作者：Su, Jing-Jing; Gao, Yi-Tian^*

来源：Superlattices and Microstructures, 2017, 104: 498-508.

DOI：10.1016/j.spmi.2016.12.056

• Optical fiber
• (2+1)-dimensional coupled variable-coefficient nonlinear Schrodinger equations
• Dark solitons
• Hirota method
• Symbolic computation
• Elastic interaction

In this paper, under investigation is a (2+1)-dimensional coupled nonlinear Schrodinger system with time-dependent coefficients, which could describe the attosecond pulses in an optical fiber. Bilinear forms and dark soliton solutions are derived via the Hirota method. Effects of the perturbation function alpha(t) on the dynamics of the solitons, i.e., intensities, velocities and accelerations, are analyzed. With the choice of different perturbation functions, we obtain the linear, parabolic and quasi-periodical dark solitons. a(t) is also described as an energy input function to make the optical solitons continue to propagate with the initial velocity when a perturbation happens. To reduce the energy loss, the so-called "optimal" energy input function is introduced to minimize the input energy, and we illustrate the elastic interaction between the two solitons graphically.

• 出版日期2017-4
• 单位北京航空航天大学